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Finding the Fourth Proportional to 29,811.76, 41,138.14 and 17,869.12

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Solution

The fourth proportional to 29,811.76, 41,138.14 and 17,869.12 is: 24,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.76 : 41,138.14 = 17,869.12 : x
  2. Step 2: Convert to fraction form
    29,811.76/41,138.14 = 17,869.12/x
  3. Step 3: Cross multiply
    29,811.76x = 41,138.14 × 17,869.12
  4. Step 4: Simplify right side
    29,811.76x = 735,102,360.24
  5. Step 5: Solve for x
    x = 735,102,360.24/29,811.76
  6. Step 6: Final answer
    x = 24,658.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.